On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator

• DOI: 10.3390/axioms10040255
• Publication Date: 2021-10-14T13:10:49Z
• Authors: Vaijanath L. Chin...; Asha B. Nale; Satish K. Panchal; Christophe Chesneau
• Keywords: 0103 physical sciences; QA1-939; Caputo–Fabrizio fractional integral; fractional integral inequality; 01 natural sciences; Mathematics

In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral. Moreover, several fractional integral inequalities for extended Chebyshev functional by considering the Caputo–Fabrizio fractional integral operator are discussed. In addition, we obtain fractional integral inequalities for three positive functions involving the same operator.